Question

Find the value of x that makes m || n. 150° AE (4x 6° Lines m and n are parallel when x=

Answer 1

For the lines to be parallel we need the angles to be equal (since corresponding angles are the same for parallel lines), then:

$\begin{gathered} 4x-6=150 \\ 4x=156 \\ x=\frac{156}{4} \\ x=39 \end{gathered}$

Therefore the lines are parallel when x=39.